Just before they start showing errors.
Very very difficult to trak without specialist software.
The manufacturers show a lifetime via the number of end to end passes. AS LTO are multi-track, from empty to full is multiple end-to-end passes, so difficult to count.
They also show a max number of mounts - having discussed this point at length with Imation specialists, they agree that it's not a very good indication.
Why :
Lets say a tape should be good for 500 full writes (I've made that up, just an example).
If your tape drives are in top condition, no issues, and the environment is very clean and you always write to the drive above it's minimum streaming speed, the tape will probably last for the full 500 writes, or even longer.
If you shoe-shine the drives (write below the minimum streaming speed) you can damage the tape (and drive) within a couple of weeks if you are particularly unlucky.
If the drive develops a fault, it can damage theh tape. If you put a damaged taepe in a good drive, it can damage the drive. Is the environemnt dusty ? - again, that will cause issues ...
Do you move the tapes between locations, that can cause issues ...
So you see, a number of passes/ mounts is almost meaningless, unless you know that everything is running 100% perfetly, which is most cases it is not, which has a potential effect of drive/ tape life.
Software is available that can track errors at a low level, before they cause failures, and thus predict failure before it happens, so libraries have this feature built in. Otherwise, I'd advise to replace the tapes every x number of years to be safe - at my old firm we used to generally replace after 3 years. If certain tapes had little use, we left them for longer.